A New Causal Ideal Internal Dynamics Generator

TL;DR

This paper introduces a novel causal internal dynamics generator for unstable matrix differential equations, enhancing applicability and ease of extension compared to existing methods.

Contribution

It proposes a new IID generator that handles singular and slowly time-varying systems using H2/Hinf optimization, improving robustness and flexibility.

Findings

Applicable to singular system matrices

Easily extended to time-varying systems

Uses H2/Hinf optimization for parameter selection

Abstract

The design of ideal internal dynamics (IID) generators, namely solving IID, is a fundamental problem, which is a key step to handle the nonminimum-phase output tracking problem. In this paper, for a class of unstable matrix differential equations, a new causal dynamic IID generator is proposed, whose parameters are partly chosen via H_2/H_inf optimization. Compared with existing similar generators, it is applicable to matrix differential equations with singular system matrices and is easily extended to slowly time-varying matrix differential equations without extra computation.